{"id":"https://openalex.org/W2031342075","doi":"https://doi.org/10.1016/s0304-3975(00)00425-4","title":"Residue polynomial systems","display_name":"Residue polynomial systems","publication_year":2002,"publication_date":"2002-05-01","ids":{"openalex":"https://openalex.org/W2031342075","doi":"https://doi.org/10.1016/s0304-3975(00)00425-4","mag":"2031342075"},"language":"en","primary_location":{"id":"doi:10.1016/s0304-3975(00)00425-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(00)00425-4","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103336740","display_name":"Peter Turner","orcid":null},"institutions":[{"id":"https://openalex.org/I189158971","display_name":"United States Naval Academy","ror":"https://ror.org/00znex860","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I189158971","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Peter R. Turner","raw_affiliation_strings":["Mathematics Department, US Naval Academy, Annapolis MD 21402, USA","[US Naval Academy, Annapolis, MD]"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, US Naval Academy, Annapolis MD 21402, USA","institution_ids":["https://openalex.org/I189158971"]},{"raw_affiliation_string":"[US Naval Academy, Annapolis, MD]","institution_ids":["https://openalex.org/I189158971"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103336740"],"corresponding_institution_ids":["https://openalex.org/I189158971"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":3.4787,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.93395384,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"279","issue":"1-2","first_page":"29","last_page":"49"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7717665433883667},{"id":"https://openalex.org/keywords/residue-number-system","display_name":"Residue number system","score":0.6070295572280884},{"id":"https://openalex.org/keywords/irreducible-polynomial","display_name":"Irreducible polynomial","score":0.583098292350769},{"id":"https://openalex.org/keywords/rational-number","display_name":"Rational number","score":0.5270538330078125},{"id":"https://openalex.org/keywords/residue","display_name":"Residue (chemistry)","score":0.49231040477752686},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4900306463241577},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4845820665359497},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.48220622539520264},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.45863378047943115},{"id":"https://openalex.org/keywords/residue-field","display_name":"Residue field","score":0.42267894744873047},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42247533798217773},{"id":"https://openalex.org/keywords/quadratic-residue","display_name":"Quadratic residue","score":0.42066490650177},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.3649534583091736},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3493354618549347},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29803887009620667},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.24146705865859985},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13625401258468628}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7717665433883667},{"id":"https://openalex.org/C71480937","wikidata":"https://www.wikidata.org/wiki/Q3086516","display_name":"Residue number system","level":2,"score":0.6070295572280884},{"id":"https://openalex.org/C165030954","wikidata":"https://www.wikidata.org/wiki/Q1476663","display_name":"Irreducible polynomial","level":4,"score":0.583098292350769},{"id":"https://openalex.org/C46875033","wikidata":"https://www.wikidata.org/wiki/Q1244890","display_name":"Rational number","level":2,"score":0.5270538330078125},{"id":"https://openalex.org/C2781338088","wikidata":"https://www.wikidata.org/wiki/Q903495","display_name":"Residue (chemistry)","level":2,"score":0.49231040477752686},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4900306463241577},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4845820665359497},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.48220622539520264},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.45863378047943115},{"id":"https://openalex.org/C2781025942","wikidata":"https://www.wikidata.org/wiki/Q7315530","display_name":"Residue field","level":3,"score":0.42267894744873047},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42247533798217773},{"id":"https://openalex.org/C12817185","wikidata":"https://www.wikidata.org/wiki/Q878259","display_name":"Quadratic residue","level":2,"score":0.42066490650177},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3649534583091736},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3493354618549347},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29803887009620667},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.24146705865859985},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13625401258468628},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0304-3975(00)00425-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(00)00425-4","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320337624","display_name":"U.S. Naval Academy","ror":"https://ror.org/00znex860"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1628745019","https://openalex.org/W2032951732","https://openalex.org/W2052062860","https://openalex.org/W2069072478","https://openalex.org/W2109839361","https://openalex.org/W2752853835","https://openalex.org/W3021014091","https://openalex.org/W4230989983","https://openalex.org/W6658545634"],"related_works":["https://openalex.org/W2584805892","https://openalex.org/W2130762142","https://openalex.org/W3155771463","https://openalex.org/W1974525573","https://openalex.org/W2893108543","https://openalex.org/W2144632852","https://openalex.org/W2133780542","https://openalex.org/W2126168855","https://openalex.org/W1940425983","https://openalex.org/W2890383074"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}